Highest Common Factor of 6379, 5019, 72941 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6379, 5019, 72941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6379, 5019, 72941 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6379, 5019, 72941 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6379, 5019, 72941 is 1.

HCF(6379, 5019, 72941) = 1

HCF of 6379, 5019, 72941 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6379, 5019, 72941 is 1.

Highest Common Factor of 6379,5019,72941 using Euclid's algorithm

Highest Common Factor of 6379,5019,72941 is 1

Step 1: Since 6379 > 5019, we apply the division lemma to 6379 and 5019, to get

6379 = 5019 x 1 + 1360

Step 2: Since the reminder 5019 ≠ 0, we apply division lemma to 1360 and 5019, to get

5019 = 1360 x 3 + 939

Step 3: We consider the new divisor 1360 and the new remainder 939, and apply the division lemma to get

1360 = 939 x 1 + 421

We consider the new divisor 939 and the new remainder 421,and apply the division lemma to get

939 = 421 x 2 + 97

We consider the new divisor 421 and the new remainder 97,and apply the division lemma to get

421 = 97 x 4 + 33

We consider the new divisor 97 and the new remainder 33,and apply the division lemma to get

97 = 33 x 2 + 31

We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get

33 = 31 x 1 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6379 and 5019 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(97,33) = HCF(421,97) = HCF(939,421) = HCF(1360,939) = HCF(5019,1360) = HCF(6379,5019) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 72941 > 1, we apply the division lemma to 72941 and 1, to get

72941 = 1 x 72941 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72941 is 1

Notice that 1 = HCF(72941,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6379, 5019, 72941 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6379, 5019, 72941?

Answer: HCF of 6379, 5019, 72941 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6379, 5019, 72941 using Euclid's Algorithm?

Answer: For arbitrary numbers 6379, 5019, 72941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.